Limit of $n(1-U_{n:n})$.

Question

Let $U_{n:n}$ be n-th order statistic of uniform distribution on segment [0,1]. Let's think about $n(1-U_{n:n})$. I'm supposed to find its limit for n approaching $\infty$. And another question is: how it converges? By probability? Almost surely? I'd appreciate your help.